Expert answer:Calculus for physics problems

Expert answer:I need help for the solution of attached problems.Please show all steps of solution.Thanks
calculus_for_physics.pdf

Unformatted Attachment Preview

Answer the following questions on a separate sheet of paper. Show your work and box your
answers.
1. (10 points) Using the following matrices:
4 1 −2
= 8 0 0
4 2 −5
  =
−3 0
3 6
0 0
1
0
1
a. Calculate AB.
b. Calculate A+B.
c. Calculate the determinant of A.
2. (10 points) Using the vectors,
= 5 − 3 + 2  
  = −7 − 2 + 3
a. Calculate the dot product ∙ .
b. Calculate the cross product × .
3. (10 points) A ray is at -15 mm with slope -0.5.
a. It passes through 400 mm of empty space. Describe the ray after this occurs.
b. The ray from part (a) passes through a lens of focal length -200 mm. Describe the ray
after this occurs.
4. (10 points) Rotate the vector = 2 + 3 −
– 45° (– π/4) about the x axis.
5. (10 points) Using the following matrix:
3
2
1
4
a. Find the eigenvalues.
b. Find the eigenvectors. (Label which eigenvector corresponds to which eigenvalue.)
6. (5 points) Calculate ∇ , , for
, , = ! − 5 ! sin
7. (20 points) For the vector field = − ,
a. Sketch .
b. Calculate the divergence.
c. Calculate the curl.
d. Explain why the divergence and curl that you calculated make sense for your sketch.
8. (10 points) For = + − 2 ! , calculate the line integral along the curved line path
= − ! between the point (1, -1, 2) and the point (2, -4, 2).
9. (10 points) For = + − 2 ! , calculate the surface integral for the triangular
surface in the plane = 3, bounded by the x axis, the line = 1 and the line = −2 .
10. (5 points) Calculate the volume integral for the scalar function = ! (4 − ! ) over the
cube where x runs from 0 to 1, y runs from 3 to 8, and z runs from 1 to 4.
11. (12.5 points) Find the general solution of the following differential equation:
!

+2
+ 17 = 0
!

12. (12.5 points) Find the general solution of the following differential equation:
!

−3
− 10 = 0
!

13. (12.5 points) Find the general solution of the following differential equation:
! = −
2
+ ! + 3
! + 1
14. (12.5 points) Find the general solution of the following differential equation:
3 ′ − = + 1
…
Purchase answer to see full
attachment

How it works

1. Paste your instructions in the instructions box. You can also attach an instructions file
2. Select the writer category, deadline, education level and review the instructions 
3. Make a payment for the order to be assignment to a writer
4.  Download the paper after the writer uploads it 

Will the writer plagiarize my essay?

You will get a plagiarism-free paper and you can get an originality report upon request.

Is this service safe?

All the personal information is confidential and we have 100% safe payment methods. We also guarantee good grades